an:03930673
Zbl 0581.90010
Yannelis, Nicholas C.
On a market equilibrium theorem with an infinite number of commodities
EN
J. Math. Anal. Appl. 108, 595-599 (1985).
00149873
1985
j
91B50 54C65
generalization; Gale-Nikaido-Debreu market equilibrium theorem; Hausdorff locally convex linear topological spaces; infinite number of commodities; selection theorem for correspondences
The paper contains a proof of a generalization of the Gale-Nikaido-Debreu market equilibrium theorem, which asserts that any market excess demand function, satisfying some standard assumptions, has a zero, which corresponds to an equilibrium. The theorem, originally proved for finite Euclidean spaces, is proved for Hausdorff locally convex linear topological spaces, and thus for equilibrium models with an infinite number of commodities. In the proof a selection theorem for correspondences is used. The result is compared to other work, particularly to \textit{C. D. Aliprantis} and \textit{D. J. Brown} [J. Math. Econ. 11, 189-207 (1983; Zbl 0502.90006)].
C.Weddepohl
Zbl 0508.90013; Zbl 0502.90006